Peavy started well, not allowing a hit through the first three innings. In the fourth, Torii Hunter unloaded a two-run home run over the center-field fence.

Teams interested in Peavy will pay a premier for his services. That is, assuming the Sox decide to peddle him. Although prepared for a trade, Peavy has said he would prefer to remain with the club. And the Sox's asking price also might indicate they are floating his name to see what's offered even if they aren't sold on selling him.

It's possible teams are watching other players as well. For example, the Chicago Tribune says the Cardinals and Sox have mutual interest. The Sox appear to want future pitching help, and the Cardinals are watching shortstop Alexei Ramirez. There are complications, the Tribune noted, given the Cards' reluctance to trade away any top pitching prospects.

The White Sox reportedly said no to swapping Ramirez for prospect Carlos Martinez. Media reports in the Cardinals market question whether the Cardinals would want Martinez at all, given he is a less-talented fielder than current starter Pete Kozma.

On Thursday, the Cards sent right-hander Martinez to Class AAA Memphis and recalled lefty specialist Marc Rzepczynski. Martinez had been a reliever with the Cards but will return to a starting role in Memphis.

Peavy's price increased when the Chicago Cubspulled a deal with the Texas Rangers for Matt Garza. The Cubs will receive third baseman Mike Olt — who was the Rangers' No. 2-ranked prospect in Baseball America's preseason list but has struggled mightily at Class AAA — minor-league pitcher C.J. Edwards, starter Justin Grimm and a player to be named.